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Finding the Third Proportional to 171,624 and 378,152

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Solution

The third proportional to 171,624 and 378,152 is: 833,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,624 : 378,152 = 378,152 : x
  2. Step 2: Convert to fraction form
    171,624/378,152 = 378,152/x
  3. Step 3: Cross multiply
    171,624x = 378,152 × 378,152
  4. Step 4: Simplify right side
    171,624x = 142,998,935,104
  5. Step 5: Solve for x
    x = 142,998,935,104/171,624
  6. Step 6: Final answer
    x = 833,210.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.